Distinguishability of particles and its implications for peculiar mass transport in inhomogeneous media

Details Distinguishability of particles and its implications for peculiar mass transport in inhomogeneous media Distinguishability of particles and its implications for peculiar mass transport in inhomogeneous media

2010-05-25

arxiv.org/abs/1005.4551v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 3 figures

Scientific paper

A mass transport directed from low to high density region in an inhomogeneous medium is modeled as a limiting case of a two-component lattice gas with excluded volume constraint and one of the components fixed. In the long-wavelength approximation, density relaxation of mobile particles is governed by a diffusion process and interaction with a medium inhomogeneity represented by a static component distribution. It is shown that density relaxation can be locally accompanied by a density distribution compression. In quasi one-dimensional case, the compression dynamics manifests itself in a hopping-like motion of diffusing substance packet front position due to a staged passing through inhomogeneity barriers and leads to a fragmentation of a packet and retardation of its spreading. A root-mean-square displacement reflects only an averaged packet front dynamics and becomes inappropriate as a transport characteristic in this regime. In a stationary case mass transport throughout a whole system may be directed from a boundary with low concentration towards a boundary with that of high one. Implications of the excluded volume constraint and particles distinguishability for these effects are discussed.

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